Concept explainers
a. Multiplying Each Number Pick any five numbers. Compute the mean and standard deviation of this set of data.
b. Multiply each number in your set of data by 3 and compute the mean and the standard deviation of this new set of data.
c. Multiply each number in your original set of data by 9 and compute the mean and the standard deviation of this new set of data.
d. What conclusions can you draw about changes in the mean and the standard deviation when each value in a set of data is multiplied by the same number?
e. The mean and standard deviation of the set of data 1, 3, 4, 4, 5, 7 are 4 and 2, respectively. Use the conclusion drawn in part (d) to determine the mean and standard deviation of the set of data
5, 15, 20, 20, 25, 35
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